Method 2 - Crouch Clipping

Requirements

Have the Sheikah Eye still closed in the middle of the door on the left after going though the main entrance of the Divine Beast.

Instructions

Go in front of the door with the Sheikah Eye, open your map, and tilt the Divine Beast by 90 degrees to turn it on its side.

When the Divine Beast has finished turning, jump on the edge of the door, then on the Sheikah Eye, and walk towards it.

While walking on the Sheikah Eye, press the "Crouch" button.

Result

If done correctly, you will walk through the Sheikah Eye into the next room without having to solve the puzzle and open the door.

Notes

This method still works in the 1.1.1 version of the game.

General Notes

This glitch is useful if you don't have arrows to shoot to light the torch that opens the door with a blue flame because you can use a torch or a wooden weapon then. The second method is clearly the best since it is easy and you don't have to take damage to go through the door.